Show the following Fourier Transform and F{tri(t)}(f) = sinc²(f) F{e-t²}(f) = e-f² You may use the table of operational property but not directly use the table of Fourier Transform pair.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.2: Polynomial Functions
Problem 96E: What is the purpose of the Intermediate Value Theorem?
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(a) Show the following Fourier Transform
and
F{tri(t)} (f) = sinc²(f)
F{e¯¯t² }(ƒ) = e¯πƒ²
You may use the table of operational property but not directly use the table of Fourier Transform
pair.
Transcribed Image Text:(a) Show the following Fourier Transform and F{tri(t)} (f) = sinc²(f) F{e¯¯t² }(ƒ) = e¯πƒ² You may use the table of operational property but not directly use the table of Fourier Transform pair.
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